1063105824 has 96 divisors (see below), whose sum is σ = 3068706816. Its totient is φ = 319576320.

The previous prime is 1063105787. The next prime is 1063105871. The reversal of 1063105824 is 4285013601.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1063105824² = 2260387986045437952, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1063105791 and 1063105800.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 130149 + ... + 138075.

It is an arithmetic number, because the mean of its divisors is an integer number (31965696).

Almost surely, 2^1063105824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1063105824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1534353408).

1063105824 is an abundant number, since it is smaller than the sum of its proper divisors (2005600992).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1063105824 is a wasteful number, since it uses less digits than its factorization.

1063105824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8078 (or 8070 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The square root of 1063105824 is about 32605.3036176632. The cubic root of 1063105824 is about 1020.6076809530.

The spelling of 1063105824 in words is "one billion, sixty-three million, one hundred five thousand, eight hundred twenty-four".